The crane evenly lifts a load of 3 tons to a height of 25m in 1 minute. What is the power of the crane?

To calculate the required crane power, we apply the formula: N = A / t = m * g * h / t.

Constants and variables: m – mass of the lifted load (m = 3 t; in SI m = 3 * 10 ^ 3 kg); g – acceleration due to gravity (g ≈ 10 m / s2); h – lifting height (h = 25 m); t – duration of work (t = 1 min; in SI t = 60 s).

Let’s make a calculation: N = m * g * h / t = 3 * 10 ^ 3 * 10 * 25/60 = 12.5 * 10 ^ 3 J (12.5 kJ).

Answer: The power of the crane is 12.5 kJ.



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